Task 2 CLT in " real life'. [10 pts] Error-correcting codes1 are used in order to compensate for errors in transmission of messages [and in recovery of stored data from unreliable hardware}. You are on a mission to Mars and need to send regular updates to mission control. Most of the packets actually don't get through. but you are using an error-correcting oode that can let mission control recover the original message you send so as long as at least 11324 packets are received [not erased}. Suppose that each packet gets erased independently with probability (1?. How many packets should you send such that you can recover the message with probability at least 99% Use the Central Limit Theorem to approximate the answer. using the continuity correction. Your answers should be correct to 4 decimal places